New Proof of the Generalized Second Law

TL;DR

This paper proves the generalized second law of black hole thermodynamics for black holes formed via gravitational collapse, extending previous proofs that only applied to eternal black holes.

Contribution

It provides a new proof of the generalized second law for realistic black holes originating from gravitational collapse.

Findings

Proof of the generalized second law for collapsing black holes

Extension of previous results from eternal to realistic black holes

Supports thermodynamic consistency in black hole physics

Abstract

The generalized second law of black hole thermodynamics was proved by Frolov and Page for a quasi-stationary eternal black hole. However, realistic black holes arise from a gravitational collapse, and in this case their proof does not hold. In this paper we prove the generalized second law for a quasi-stationary black hole which arises from a gravitational collapse.